What is the Greatest Common Factor of 60450 and 60465?

Greatest common factor (GCF) of 60450 and 60465 is 15.

GCF(60450,60465) = 15

We will now calculate the prime factors of 60450 and 60465, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60450 and 60465.

How to find the GCF of 60450 and 60465?

We will first find the prime factorization of 60450 and 60465. After we will calculate the factors of 60450 and 60465 and find the biggest common factor number .

Step-1: Prime Factorization of 60450

Prime factors of 60450 are 2, 3, 5, 13, 31. Prime factorization of 60450 in exponential form is:

60450 = 2¹ × 3¹ × 5² × 13¹ × 31¹

Step-2: Prime Factorization of 60465

Prime factors of 60465 are 3, 5, 29, 139. Prime factorization of 60465 in exponential form is:

60465 = 3¹ × 5¹ × 29¹ × 139¹

Step-3: Factors of 60450

List of positive integer factors of 60450 that divides 60450 without a remainder.

1, 2, 3, 5, 6, 10, 13, 15, 25, 26, 30, 31, 39, 50, 62, 65, 75, 78, 93, 130, 150, 155, 186, 195, 310, 325, 390, 403, 465, 650, 775, 806, 930, 975, 1209, 1550, 1950, 2015, 2325, 2418, 4030, 4650, 6045, 10075, 12090, 20150, 30225

Step-4: Factors of 60465

List of positive integer factors of 60465 that divides 60450 without a remainder.

1, 3, 5, 15, 29, 87, 139, 145, 417, 435, 695, 2085, 4031, 12093, 20155

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60450 and 60465. The biggest common factor number is the GCF number.
So the greatest common factor 60450 and 60465 is 15.

Also check out the Least Common Multiple of 60450 and 60465